15 research outputs found
Zubarev nonequilibrium statistical operator method in Renyi statistics. Reaction-diffusion processes
The Zubarev nonequilibrium statistical operator (NSO) method in Renyi
statistics is discussed. The solution of -parametrized Liouville equation
within the NSO method is obtained. A statistical approach for a consistent
description of reaction-diffusion processes in "gas-adsorbate-metal" system is
proposed using the NSO method in Renyi statistics.Comment: 9 pages, no figure
Statistical description of electrodiffusion processes in the electron subsystem of a semibounded metal within the generalized jellium model
Based on the calculation of the quasiequilibrium statistical sum by means of
the functional integration method, we obtained a nonequilibrium statistical
operator for the electron subsystem of a semibounded metal in the framework of
the generalized jellium model in the Gaussian and higher approximations with
respect to the dynamic electron correlations. This approach allows one to go
beyond the linear approximation with respect to the gradient of the
electrochemical potential corresponding to weakly nonequilibrium processes and
to obtain generalized transport equations that describe nonlinear processes.Comment: 13 page
Generalized equations of hydrodynamics in fractional derivatives
We present a general approach for obtaining the generalized transport
equations with fractional derivatives using the Liouville equation with
fractional derivatives for a system of classical particles and the Zubarev
non-equilibrium statistical operator (NSO) method within the Gibbs statistics.
We obtain the non-Markov equations of hydrodynamics for the non-equilibrium
average values of densities of particle number, momentum and energy of liquid
in a spatially heterogeneous medium with a fractal structure. For isothermal
processes (), the non-Markov Navier-Stokes equation in
fractional derivatives is obtained. We consider models for the frequency
dependence of memory function (viscosity), which lead to the Navier-Stokes
equations in fractional derivatives in space and time.Comment: 23 page